101212122220220 has 96 divisors (see below), whose sum is σ = 232389938027520. Its totient is φ = 36721539106560.

The previous prime is 101212122220189. The next prime is 101212122220229. The reversal of 101212122220220 is 22022221212101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101212122220192 and 101212122220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212122220229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1284720791 + ... + 1284799569.

It is an arithmetic number, because the mean of its divisors is an integer number (2420728521120).

Almost surely, 2^{101212122220220} is an apocalyptic number.

101212122220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212122220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116194969013760).

101212122220220 is an abundant number, since it is smaller than the sum of its proper divisors (131177815807300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101212122220220 is a wasteful number, since it uses less digits than its factorization.

101212122220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91875 (or 91873 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101212122220220 its reverse (22022221212101), we get a palindrome (123234343432321).

The spelling of 101212122220220 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twenty thousand, two hundred twenty".